Atkin-Lehner |
2+ 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
128160u |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
583929000000 = 26 · 38 · 56 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9237,339716] |
[a1,a2,a3,a4,a6] |
j |
1868138370496/12515625 |
j-invariant |
L |
5.5401214888416 |
L(r)(E,1)/r! |
Ω |
0.92335394608828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128160bn1 42720e1 |
Quadratic twists by: -4 -3 |